Precision check of beam bending solution by means of analytical metod

Abstract

The paper is devoted to the issues of beam bending with focus on one of possible methods of solution – by analytical method. Principle of this method is based on solution of approximate differential equation of the bending curve, derived from the precise differential equation of the bending curve with omission of one of its member. The bending curves can be spatial or in some simpler cases planar, and it is appropriate to use for their solution a vector analysis, specifically vector functions of the scalar argument. With use of them at first the precise and approximate differential equation of the bending curve is determined and then the deviations between the accurate and approximate solutions are assessed.